03093nam 22007095 450 991014628940332120250731103614.03-540-69192-810.1007/BFb0093548(CKB)1000000000437349(SSID)ssj0000323897(PQKBManifestationID)12072477(PQKBTitleCode)TC0000323897(PQKBWorkID)10304421(PQKB)11103017(DE-He213)978-3-540-69192-1(MiAaPQ)EBC5576622(Au-PeEL)EBL5576622(OCoLC)1066184054(MiAaPQ)EBC6842455(Au-PeEL)EBL6842455(OCoLC)1159641341(PPN)155232932(EXLCZ)99100000000043734920121227d1997 u| 0engurnn#008mamaatxtccrIdeal Spaces /by Martin Väth1st ed. 1997.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1997.1 online resource (VI, 150 p.)Lecture Notes in Mathematics,1617-9692 ;1664Bibliographic Level Mode of Issuance: Monograph3-540-63160-7 Introduction -- Basic definitions and properties -- Ideal spaces with additional properties -- Ideal spaces on product measures and calculus -- Operators and applications -- Appendix: Some measurability results -- Sup-measurable operator functions -- Majorising principles for measurable operator functions -- A generalization of a theorem of Luxemburg-Gribanov -- References -- Index.Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. The book is a rather complete and self-contained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory.Lecture Notes in Mathematics,1617-9692 ;1664Functional analysisFunctions of real variablesLogic, Symbolic and mathematicalFunctional AnalysisReal FunctionsMathematical Logic and FoundationsFunctional analysis.Functions of real variables.Logic, Symbolic and mathematical.Functional Analysis.Real Functions.Mathematical Logic and Foundations.515.7346E30mscVäth Martin1967-61875MiAaPQMiAaPQMiAaPQBOOK9910146289403321Ideal spaces78828UNINA